The denition of principally pseudo injectivity motivates us to generalize the notion of injectivity, noted SP pseudo injectivity. The aim of this paper is to investigate characterizations and properties of SP pseudo i...The denition of principally pseudo injectivity motivates us to generalize the notion of injectivity, noted SP pseudo injectivity. The aim of this paper is to investigate characterizations and properties of SP pseudo injective modules. Various results are developed, many extending known results. As applications, we give some characterizations on Noetherian rings, QI rings, quasi-Frobenius rings.展开更多
基金Supported by the Ph.D.Programs Foundation of Ministry of Education of China(200803570003)
文摘The denition of principally pseudo injectivity motivates us to generalize the notion of injectivity, noted SP pseudo injectivity. The aim of this paper is to investigate characterizations and properties of SP pseudo injective modules. Various results are developed, many extending known results. As applications, we give some characterizations on Noetherian rings, QI rings, quasi-Frobenius rings.
